Jim Coroneos' 100 Integrals ~ 028 ~ ∫tan³x.dx

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Partly to honour Jim, and partly to fulfil an international need, I have decided to produce 100 videos, showing how to solve his 100 integration 'problems.' I hope you find the videos useful!

This is a surprisingly easy and very elegant little integral. This is because tanx has a wonderful property in that it is linked to sec²x in two different ways. First, you will remember the trigonometric identity 1 + tan²x = sec²x (which produces tan²x = sec²x - 1). Second, the derivative of tanx is sec²x. We are able to use both of these facts in evaluating this integral!

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  1. Crystal Clear Maths
  2. Integral (Literature Subject)
  3. Jim Coroneos
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Комментарии
Автор

Not only did we learn integration technique, we learned (or were reminded of) some nice properties of tan function, too. That was delightful. As well as were two integrals in the end, each with its own method of integration. A few important and valuable tricks to be learned from this "delightful little integral". Thank you for showing us the workout !

MrVoayer
Автор

Sheer wizardry! Pleasure to watch and to get perplexed as you pick up all the identities out of the black

aram